Home
Class 12
MATHS
If the eceentricity of a hyperbola is sq...

If the eceentricity of a hyperbola is `sqrt(7)` then the eccentricity of its conjugate hyperbola is

A

`sqrt(2)`

B

`sqrt(3)`

C

`sqrt((3)/(2))`

D

`2 sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos
  • INDEFINITE INTEGRAL

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|404 Videos

Similar Questions

Explore conceptually related problems

The eccentricity of a hyperbola is (5)/(3) then the eccentricity of its conjugate is

The eccentricity of the rectangular hyperbola is

The eccentricity of the rectangular hyperbola is

If (5,12) and (24,7) are the foci of a hyperbola passing through the origin , then the eccentricity of the hyperbola is :

lf the eccentricity of the hyperbola x^2-y^2(sec)^2alpha=5 is sqrt3 times the eccentricity of the ellipse x^2(sec)^2alpha+y^2=25, then a value of alpha is :

The eccentricity of the hyperbola can never be equal to

Find the eccentricity of the hyperbola : x^2-3y^2-2x=8.

Let P(6,3) be a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 . If the normal at the point P intersect the x -axis at (9,0) then the eccentricity of the hyperbola is

If the eccentricity of an ellipse is 1/sqrt2 , then its latusrectum is equal to its

HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
  1. The product of the perpendicular from any poitn P(x,y) on the hyperbol...

    Text Solution

    |

  2. If e and e^(prime) are the eccentricities of the ellipse 5 x^(2)+9 y^(...

    Text Solution

    |

  3. If the eceentricity of a hyperbola is sqrt(7) then the eccentricity of...

    Text Solution

    |

  4. Any point on the hyperbola ((x+1)^(2))/(16)-((y-2)^(2))/(4)=1 is of ...

    Text Solution

    |

  5. The equation of the hyperbola in the standard form (with transverse ax...

    Text Solution

    |

  6. The line x+y=sqrt(2) p will touch the hyperbola 4 x^(2)-9 y^(2)=36, if

    Text Solution

    |

  7. The difference of focal distance of any point on the hyperbola (x^(2))...

    Text Solution

    |

  8. The tangents from a point (2 sqrt(2), 1) to the hyperbola 16 x^(2)-25 ...

    Text Solution

    |

  9. The locus of the point of intersection of perpendicular tangents to th...

    Text Solution

    |

  10. The angle between the two asymptotes of the hyperbola (x^(2))/(16)-(y^...

    Text Solution

    |

  11. The product of the perpendicular from any poitn P(x,y) on the hyperbol...

    Text Solution

    |

  12. The equation of the hyperbol whose foci are (-2,0) and (2,0) and eccen...

    Text Solution

    |

  13. The asymptotes of a hyperbola are the coordinate axes. If the hyperbol...

    Text Solution

    |

  14. The angle between the asymptotes of the hyperbola 3 x^(2)-y^(2)=3 is

    Text Solution

    |

  15. The eccentricity of the hyperbola with asymptotes 3 x+4 y=2 and 4 x-3 ...

    Text Solution

    |

  16. The equation of a tangent parallel to y=x drawn to (x^(2))/(3)-(y^(2))...

    Text Solution

    |

  17. The eccentricity of the hyperbola 9 x^(2)-16 y^(2)-18 x-64 y-199=0 i...

    Text Solution

    |

  18. Let P(a sec theta,b tan theta) and Q(a sec varphi, b tan varphi) where...

    Text Solution

    |

  19. The equation (x^(2))/(1-r)+(y^(2))/(r-3)+1=0 represents an ellipse if ...

    Text Solution

    |

  20. If the line y=3 x+lambda touches the hyperbola 9 x^(2)-5 y^(2)=45, the...

    Text Solution

    |